%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:09:42 PM UTC 2026
% Result : Unsatisfiable 0.10s 10.65s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Xr,X,Y] : intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(z,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f143,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f151,plain,
! [X0,X1,X2] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f246,plain,
member(z,restrict(xr,x,y)),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ member(z,xr),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f419,plain,
! [X0,X1,X2,X3] :
( member(X0,X1)
| ~ member(X0,restrict(X1,X2,X3)) ),
inference(paramodulation,[status(thm)],[f151,f143]) ).
fof(f423,plain,
member(z,xr),
inference(resolution,[status(thm)],[f419,f246]) ).
fof(f426,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f423,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.60 % Computer : n008.cluster.edu
% 0.10/10.60 % Model : x86_64 x86_64
% 0.10/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.60 % Memory : 8046.5625MB
% 0.10/10.60 % OS : Linux 6.8.0-71-generic
% 0.10/10.60 % CPULimit : 300
% 0.10/10.60 % WCLimit : 300
% 0.10/10.60 % DateTime : Mon Sep 21 05:03:21 UTC 2026
% 0.10/10.60 % CPUTime :
% 0.10/10.62 % Drodi V4.1.1
% 0.10/10.65 % Refutation found
% 0.10/10.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/10.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/10.67 % Elapsed time: 0.056669 seconds
% 0.10/10.67 % CPU time: 0.166620 seconds
% 0.10/10.67 % Total memory used: 86.759 MB
% 0.10/10.67 % Net memory used: 86.677 MB
%------------------------------------------------------------------------------